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Finding the Fourth Proportional to 10,348.70, 15,526.14 and 4,806.71

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Solution

The fourth proportional to 10,348.70, 15,526.14 and 4,806.71 is: 7,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.70 : 15,526.14 = 4,806.71 : x
  2. Step 2: Convert to fraction form
    10,348.70/15,526.14 = 4,806.71/x
  3. Step 3: Cross multiply
    10,348.70x = 15,526.14 × 4,806.71
  4. Step 4: Simplify right side
    10,348.70x = 74,629,574.77
  5. Step 5: Solve for x
    x = 74,629,574.77/10,348.70
  6. Step 6: Final answer
    x = 7,211.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.